Pressure of Gas given Average Velocity and Volume Calculator

✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%
✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas [C_av]			+10% -10%
✖Volume of Gas for 1D and 2D is the amount of space that it occupies.ⓘ Volume of Gas for 1D and 2D [V_g]			+10% -10%

✖Pressure of Gas given AV and V is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas given Average Velocity and Volume [P_{AV_V}]

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Formula

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Pressure of Gas given Average Velocity and Volume

Formula

`"P"_{"AV_V"} = ("M"_{"molar"}*pi*(("C"_{"av"})^2))/(8*"V"_{"g"})`

Example

`"19.24575Pa"=("44.01g/mol"*pi*(("5m/s")^2))/(8*"22.45L")`

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Pressure of Gas given Average Velocity and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)
P_{AV_V} = (M_molar*pi*((C_av)^2))/(8*V_g)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pressure of Gas given AV and V - (Measured in Pascal) - Pressure of Gas given AV and V is the force that the gas exerts on the walls of its container.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Average Velocity of Gas - (Measured in Meter per Second) - The Average Velocity of Gas is the mean of all the velocities of the gas molecule.
Volume of Gas for 1D and 2D - (Measured in Cubic Meter) - Volume of Gas for 1D and 2D is the amount of space that it occupies.

STEP 1: Convert Input(s) to Base Unit

Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Volume of Gas for 1D and 2D: 22.45 Liter --> 0.02245 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{AV_V} = (M_molar*pi*((C_av)^2))/(8*V_g) --> (0.04401*pi*((5)^2))/(8*0.02245)

Evaluating ... ...

P_{AV_V} = 19.2457534360366

STEP 3: Convert Result to Output's Unit

19.2457534360366 Pascal --> No Conversion Required

FINAL ANSWER

19.2457534360366 ≈ 19.24575 Pascal <-- Pressure of Gas given AV and V

(Calculation completed in 00.020 seconds)

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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National Institute of Information Technology (NIIT), Neemrana

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< 20 Pressure of Gas Calculators

Pressure of Gas given Average Velocity and Volume in 2D

Go Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)

Pressure of Gas given Average Velocity and Volume

Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)

STP

Go Volume at STP = Volume*(Temperature at STP/Temperature)*(Pressure/Pressure at STP)

Pressure of Gas Molecules in 2D Box

Go Pressure of Gas = (1/2)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)

Pressure of Gas Molecules in 3D Box

Go Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)

Pressure of Gas Molecules in 1D Box

Go Pressure of Gas = ((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)

Pressure of Gas given Compressibility Factor

Go Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas

Pressure of Gas given Most Probable Speed and Volume in 2D

Go Pressure of Gas given CMS and V in 2D = (Molar Mass*(Most Probable Velocity)^2)/(Volume of Gas for 1D and 2D)

Pressure of Gas given most probable Speed and Volume

Go Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)

Pressure of Gas given Average Velocity and Density in 2D

Go Pressure of Gas given AV and D = (Density of Gas*2*((Average Velocity of Gas)^2))/pi

Pressure of Gas given Average Velocity and Density

Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8

Pressure of Gas given Root Mean Square Speed and Volume in 2D

Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas)

Pressure of Gas given Root Mean Square Speed and Volume

Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas)

Pressure of Gas given Root Mean Square Speed and Volume in 1D

Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Volume of Gas)

Pressure of Gas given most probable Speed and Density

Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2

Pressure of Gas given most probable Speed and Density in 2D

Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))

Pressure of Gas given Root Mean Square Speed and Density in 2D

Go Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))

Pressure of Gas given Root Mean Square Speed and Density

Go Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))

Pressure of Gas given Root Mean Square Speed and Density in 1D

Go Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))

Pressure of Gas given Kinetic Energy

Go Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)

< 15 Important Formulae on 1D Calculators

Pressure of Gas given Average Velocity and Volume

Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D

Go Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)

Molar Mass of Gas given Average Velocity, Pressure, and Volume

Go Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))

Molar Mass of Gas given Temperature and Average Velocity in 1D

Go Molar Mass given AV and T = (pi*[R]*Temperature of Gas)/(2*(Average Velocity of Gas)^2)

Most Probable Velocity of Gas given Pressure and Volume

Go Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)

Most Probable Velocity of Gas given Temperature

Go Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)

Pressure of Gas given most probable Speed and Volume

Go Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)

Molar Mass of Gas given Root Mean Square Speed and Pressure in 2D

Go Molar Mass given S and V = (2*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)

Molar Mass of gas given most probable Speed, Pressure and Volume

Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)

Molar Mass of Gas given Root Mean Square Speed and Pressure

Go Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)

Pressure of Gas given Average Velocity and Density

Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8

Molar Mass given Most probable Speed and Temperature

Go Molar Mass given V and P = (2*[R]*Temperature of Gas)/((Most Probable Velocity)^2)

Most Probable Velocity of Gas given Pressure and Density

Go Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas)

Pressure of Gas given most probable Speed and Density

Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2

Most Probable Velocity of Gas given RMS Velocity

Go Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)

Pressure of Gas given Average Velocity and Volume Formula

Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)
P_{AV_V} = (M_molar*pi*((C_av)^2))/(8*V_g)

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Pressure of Gas given Average Velocity and Volume?

Pressure of Gas given Average Velocity and Volume calculator uses Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D) to calculate the Pressure of Gas given AV and V, The Pressure of gas given average velocity and volume formula is defined as the direct proportion of pressure with the product of molar mass and square of the average velocity. And pressure inverse proportion with the volume of gas. Pressure of Gas given AV and V is denoted by P_{AV_V} symbol.

How to calculate Pressure of Gas given Average Velocity and Volume using this online calculator? To use this online calculator for Pressure of Gas given Average Velocity and Volume, enter Molar Mass (M_molar), Average Velocity of Gas (C_av) & Volume of Gas for 1D and 2D (V_g) and hit the calculate button. Here is how the Pressure of Gas given Average Velocity and Volume calculation can be explained with given input values -> 0.019289 = (0.04401*pi*((5)^2))/(8*22.45).

FAQ

What is Pressure of Gas given Average Velocity and Volume?

The Pressure of gas given average velocity and volume formula is defined as the direct proportion of pressure with the product of molar mass and square of the average velocity. And pressure inverse proportion with the volume of gas and is represented as P_{AV_V} = (M_molar*pi*((C_av)^2))/(8*V_g) or Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D). Molar Mass is the mass of a given substance divided by the amount of substance, The Average Velocity of Gas is the mean of all the velocities of the gas molecule & Volume of Gas for 1D and 2D is the amount of space that it occupies.

How to calculate Pressure of Gas given Average Velocity and Volume?

The Pressure of gas given average velocity and volume formula is defined as the direct proportion of pressure with the product of molar mass and square of the average velocity. And pressure inverse proportion with the volume of gas is calculated using Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D). To calculate Pressure of Gas given Average Velocity and Volume, you need Molar Mass (M_molar), Average Velocity of Gas (C_av) & Volume of Gas for 1D and 2D (V_g). With our tool, you need to enter the respective value for Molar Mass, Average Velocity of Gas & Volume of Gas for 1D and 2D and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pressure of Gas given AV and V?

In this formula, Pressure of Gas given AV and V uses Molar Mass, Average Velocity of Gas & Volume of Gas for 1D and 2D. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)

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